212411312133042 has 128 divisors (see below), whose sum is σ = 487771315589376. Its totient is φ = 61075607040000.

The previous prime is 212411312133029. The next prime is 212411312133073. The reversal of 212411312133042 is 240331213114212.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251986792 + ... + 252828332.

It is an arithmetic number, because the mean of its divisors is an integer number (3810713403042).

Almost surely, 2^{212411312133042} is an apocalyptic number.

212411312133042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212411312133042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243885657794688).

212411312133042 is an abundant number, since it is smaller than the sum of its proper divisors (275360003456334).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212411312133042 is a wasteful number, since it uses less digits than its factorization.

212411312133042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844156.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 212411312133042 its reverse (240331213114212), we get a palindrome (452742525247254).

The spelling of 212411312133042 in words is "two hundred twelve trillion, four hundred eleven billion, three hundred twelve million, one hundred thirty-three thousand, forty-two".